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Finding the Fourth Proportional to 120,974.10, 169,538.70 and 120,974.10

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Solution

The fourth proportional to 120,974.10, 169,538.70 and 120,974.10 is: 169,538.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,974.10 : 169,538.70 = 120,974.10 : x
  2. Step 2: Convert to fraction form
    120,974.10/169,538.70 = 120,974.10/x
  3. Step 3: Cross multiply
    120,974.10x = 169,538.70 × 120,974.10
  4. Step 4: Simplify right side
    120,974.10x = 20,509,791,647.67
  5. Step 5: Solve for x
    x = 20,509,791,647.67/120,974.10
  6. Step 6: Final answer
    x = 169,538.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.